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Finding the Fourth Proportional to 38,459.50, 53,074.11 and 20,795.50

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Solution

The fourth proportional to 38,459.50, 53,074.11 and 20,795.50 is: 28,697.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.50 : 53,074.11 = 20,795.50 : x
  2. Step 2: Convert to fraction form
    38,459.50/53,074.11 = 20,795.50/x
  3. Step 3: Cross multiply
    38,459.50x = 53,074.11 × 20,795.50
  4. Step 4: Simplify right side
    38,459.50x = 1,103,702,654.51
  5. Step 5: Solve for x
    x = 1,103,702,654.51/38,459.50
  6. Step 6: Final answer
    x = 28,697.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.